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112320830449 = 73245912
BaseRepresentation
bin110100010011011010…
…1111101101111110001
3101201220211110101020101
41220212311331233301
53320013113033244
6123333253112401
711054262206662
oct1504665755761
9351824411211
10112320830449
11436a91a9403
1219928028701
13a790286469
145617515369
152dc5c310d4
hex1a26d7dbf1

112320830449 has 9 divisors (see below), whose sum is σ = 113905359819. Its totient is φ = 110758058640.

The previous prime is 112320830443. The next prime is 112320830459. The reversal of 112320830449 is 944038023211.

The square root of 112320830449 is 335143.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63758775025 + 48562055424 = 252505^2 + 220368^2 .

It is not a de Polignac number, because 112320830449 - 221 = 112318733297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112320830443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24463144 + ... + 24467734.

It is an arithmetic number, because the mean of its divisors is an integer number (12656151091).

Almost surely, 2112320830449 is an apocalyptic number.

112320830449 is the 335143-rd square number.

112320830449 is the 167572-nd centered octagonal number.

It is an amenable number.

112320830449 is a deficient number, since it is larger than the sum of its proper divisors (1584529370).

112320830449 is an frugal number, since it uses more digits than its factorization.

112320830449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 112320830449 in words is "one hundred twelve billion, three hundred twenty million, eight hundred thirty thousand, four hundred forty-nine".

Divisors: 1 73 4591 5329 335143 21077281 24465439 1538641513 112320830449